5145348096 has 432 divisors, whose sum is σ = 18012168720. Its totient is φ = 1463132160.

The previous prime is 5145348083. The next prime is 5145348097. The reversal of 5145348096 is 6908435415.

5145348096 is a `hidden beast` number, since 514 + 5 + 3 + 48 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5145348097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24385431 + ... + 24385641.

It is an arithmetic number, because the mean of its divisors is an integer number (41694835).

Almost surely, 2^5145348096 is an apocalyptic number.

5145348096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006084360).

5145348096 is an abundant number, since it is smaller than the sum of its proper divisors (12866820624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5145348096 is an equidigital number, since it uses as much as digits as its factorization.

5145348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5145348096 is about 71731.0817986178. The cubic root of 5145348096 is about 1726.3873844213.

The spelling of 5145348096 in words is "five billion, one hundred forty-five million, three hundred forty-eight thousand, ninety-six".